ANY number raised to the zero power is ' 1 '.
(This rule is worth memorizing. You'll amaze all of
your friends, especially the ones who don't know
how to do it without running to Google.)
So 5^0 = 1 .
Answer:
Third option is correct.
Step-by-step explanation:
The given model is
![h(t)=-16t^2-30t+124](https://tex.z-dn.net/?f=h%28t%29%3D-16t%5E2-30t%2B124)
Where, h(t) is heigth of rock after time t (in seconds).
The initial height of rock is 124 ft.
The leading coefficient is negative. It means it is a downward parabola.
First we have to the x-intercepts of the function.
![0=-16t^2-30t+124](https://tex.z-dn.net/?f=0%3D-16t%5E2-30t%2B124)
Using quadratic formula, we get
![t=\frac{-(-30)\pm \sqrt{(-30)^2-4(124)(-16)}}{2(-16)}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-%28-30%29%5Cpm%20%5Csqrt%7B%28-30%29%5E2-4%28124%29%28-16%29%7D%7D%7B2%28-16%29%7D)
and ![t=2](https://tex.z-dn.net/?f=t%3D2)
It means rock remains in the air between
.
The value of t can not be negative, therefore rock remains in the air between
.
Third option is correct.
Answer:
Step-by-step explanation:
Pythagorean theorem,
hypotenuse²= base² + altitude²
base² = hypotenuse² - altitude²
x² = 14² - 9²
= 196 - 81
= 115
x = √115
x = 10.72
The question says the machine uses up m gallons of oil each hour on weekends.
This means that if the machine works for 24 hours each day, it implies that:
![\text{Total amount of oil used up in a day = 24}\times m=24m](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20amount%20of%20oil%20used%20up%20in%20a%20day%20%3D%2024%7D%5Ctimes%20m%3D24m)
There are only two days on weekends i.e. Saturday and Sunday.
This means that if the amount of oil used in 1 day in the weekend is 24m, then we can say:
Saturday: oil used is 24m
Sunday: oil used is 24m
Total oil used during the weekend is: